Württemberg Archives and Libraries
The Landeskirchliches Archiv in Stuttgart has many records of Württemberg in their possession. However, they will not do extensive research for patrons. They will provide you with a list of professional genealogists that can be hired for your family research project.
This is what you can accomplish through the above mentioned
http://www.archiv.elk-wue.de/cms/startseite/family-research/
Here is a list of district archives which houses the records of the older administrations of Württemberg (click on name of archive and then on Beständeübersicht to look at the holdings)